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In this paper, we deal with a singularly perturbed parabolic convection-diffusion problem. Shishkin mesh and a hybrid third-order finite difference scheme are adopted for the spatial discretization. Uniform mesh and… Click to show full abstract
In this paper, we deal with a singularly perturbed parabolic convection-diffusion problem. Shishkin mesh and a hybrid third-order finite difference scheme are adopted for the spatial discretization. Uniform mesh and the backward Euler scheme are used for the temporal discretization. Furthermore, a preconditioning approach is also used to ensure uniform convergence. Numerical experiments show that the method is first-order accuracy in time and almost third-order accuracy in space.
Keywords:
singularly perturbed;
order;
perturbed parabolic;
scheme;
finite difference;
order finite
Journal Title: Mathematical Problems in Engineering
Year Published: 2021
Link to full text (if available)
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Journal Title: Mathematical Problems in Engineering
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!